101537884656 has 120 divisors (see below), whose sum is σ = 306275970000. Its totient is φ = 31216693248.

The previous prime is 101537884633. The next prime is 101537884673. The reversal of 101537884656 is 656488735101.

It is a happy number.

101537884656 is a `hidden beast` number, since 10 + 1 + 537 + 8 + 8 + 46 + 56 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2316415 + ... + 2359841.

It is an arithmetic number, because the mean of its divisors is an integer number (2552299750).

Almost surely, 2^101537884656 is an apocalyptic number.

101537884656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101537884656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153137985000).

101537884656 is an abundant number, since it is smaller than the sum of its proper divisors (204738085344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101537884656 is a wasteful number, since it uses less digits than its factorization.

101537884656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44703 (or 44694 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 101537884656 in words is "one hundred one billion, five hundred thirty-seven million, eight hundred eighty-four thousand, six hundred fifty-six".